4 questions

Research, Methodology, and Performance Management

A CRC gives a work-values inventory to the same group of clients twice, two weeks apart, and finds very similar scores. This evidence best supports the inventory's:

  • a.Test-retest reliability✓
  • b.Content validity
  • c.Predictive validity
  • d.Internal consistency

Reliability refers to the consistency of scores across replications of a testing procedure, and administering the same instrument twice and correlating the results estimates test-retest (stability) reliability. Content validity concerns whether items represent the domain, predictive validity concerns forecasting a later criterion, and internal consistency is estimated from a single administration.

Research, Methodology, and Performance Management

A client's standard score on an aptitude test is 100, and the test's standard error of measurement is 5. Assuming normally distributed error, within what range would his true score be expected to fall about 68% of the time?

  • a.90 to 110
  • b.85 to 115
  • c.99 to 101
  • d.95 to 105✓

A band of plus or minus one SEM around the obtained score covers about 68% of a normal error distribution, so 100 plus or minus 5 gives 95 to 105. Plus or minus two SEMs (90 to 110) covers about 95%, plus or minus three SEMs (85 to 115) covers about 99.7%, and 99 to 101 does not correspond to the SEM given.

Research, Methodology, and Performance Management

A client's z-score on a mechanical reasoning test is +1.5. What is the equivalent T-score?

  • a.55
  • b.65✓
  • c.60
  • d.75

T-scores have a mean of 50 and a standard deviation of 10, so T = 50 + 10z = 50 + 10(1.5) = 65. A T of 55 corresponds to z = 0.5, 60 to z = 1.0, and 75 to z = 2.5.

Research, Methodology, and Performance Management

A program's client wages are strongly right-skewed because a few clients earn very high salaries. According to the NIST e-Handbook, how does the mean compare with the median here?

  • a.The mean is less than the median
  • b.The mean equals the median
  • c.The mean is greater than the median✓
  • d.The mean equals the mode

The NIST/SEMATECH e-Handbook explains that for skewed distributions the mean is pulled in the direction of the skewness, so when the right tail is heavier the mean will be greater than the median; extreme tail values distort the mean but not the median. The mean equals the median (and mode) only for symmetric distributions such as the normal.

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